A Bayesian approach is often adopted for estimations of density
profile parameters. Representative examples are a scale radius \(r_s\) 
and a characteristic mass density \(\rho _s\)  of the often adopted
Navarro-Frenk-White (NFW) profile [1]}. The
Bayesian approach has to adopt the prior distribution of these
parameters, which are combined with the likelihood to obtain the posterior probability distribution function. While uninformative,
uniform priors for both \(\log r_s\)  and \(\log \rho _s\)  are usually
adopted in the literature (e.g., [2]}), more
realistic priors based on theories of the structure formation, called
satellite priors, are proposed [3]}. The authors showed
substantial impact on DM searches using dSphs. As a result of adopting
the satellite priors, the constraints on the annihilation cross
section for 10-1000 GeV DM are found to be relaxed by a factor of 2–7
compared with those obtained with uninformative, log-uniform
priors [4]}. It is therefore crucial to adopt more
realistic priors that take into account the observed satellite
dynamics in order to constrain the DM cross section.
